Expand (2x/3-3/2x-1)²
Answers
Answered by
3
Answer:
(4x^2/9-9/4x-1)
Answered by
19
Answer:
4x² 9 6 4x
----- + ----- + ------- - ------- - 1
9 4x² 2x 3
Step-by-step explanation:
[ 2x 3 ]²
[ ---- - ----- - 1 ] (Sorry for this terrible format)
[ 3 2x ]
Using (a+b+c)² = a² + b² + c² + 2ab + 2bc + 2ca
Here, a = 2x/3, b = -3/2x, c = -1
= (2x/3)² + (-3/2x)² + (-1)² + 2(2x/3)(-3/2x) + 2(-3/2x)(-1) + 2(-1)(2x/3)
= 4x² 9 12x 6 4x
----- + ----- + 1 - -------- + ------- - -------
9 4x² 6x 2x 3
= 4x² 9 6 4x
----- + ----- + 1 - 2 + ------- - -------
9 4x² 2x 3
= 4x² 9 6 4x
----- + ----- + ------- - ------- - 1
9 4x² 2x 3
Have a good day <3
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